Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x , the time in hours it takes to mow a lawn, and y , the area of land mowed in acres. Two of his points are 3 comma 1 point 5 and 5 comma 2 point 5 Which statement describes the slope of the line through these two points?
Answer
A
Aaron’s rate for mowing lawns is 0 point 5 acres per hour.
B
The ratio of acres to time is 5 acres to 3 hours.
C
The rate to mow a lawn is 0 point 6 hours per acre.
D
It takes Aaron about 1 hour to mow 2 acres.
Explanation
Slope is the change in area divided by the change in time: (2.5 − 1.5) acres ÷ (5 − 3) hours = 1 ÷ 2 = 0.5 acres per hour. So the slope describes Aaron’s mowing rate, which is 0.5 acres per hour.
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